If Z1 = 1 − i and Z2 = i − 1, then Z1 - Z2 =

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Question 1.1.1

If $Z_1 = 1 - i$ and $Z_2 = i - 1$, then $Z_1 - \overline{Z_2} =$

Step 1: Find the conjugate of $Z_2$.
Given $Z_2 = i - 1 = -1 + i$.
The conjugate $\overline{Z_2}$ is found by changing the sign of the imaginary part:

$$\overline{Z_2} = -1 - i$$

Step 2: Calculate $Z_1 - \overline{Z_2}$.
Substitute the values of $Z_1$ and $\overline{Z_2}$:

$$$$